Okay I don't know how much you already know so I will just try and explain everything.
For the first set of problems it says to determine if its a polynomial and what type of polynomial and its degree.
A term are things like x, y, xy, x^2, xy^2, 4xy^3, etc.
The way I remember is that if the variables or numbers are MULTIPLYING or DIVIDING then it is a term.
A polynomial is any expression with multiple terms such as x + y or 4xy^2 + 5z^3 - 4q so it is the ADDITION or SUBTRACTION of terms. Do you follow so far?
Okay next part asks about the degree. The degree of an expression is the highest exponent in the expression. So the degree of x would be 1 and the degree of x^2 + 4y^8 would be 8 since 8 is the highest exponent.
Now it asks about what type of polynomial it is. Monomial means there is ONE term. Binomial means there are TWO terms, Trinomial means THREE, and so on.
Okay now once you solved all of those first problems it asks to write in standard form.
Standard form for polynomials are the terms in descending degree order, meaning the term with the highest exponent goes first and then decreases from there.
The leading coefficient is just the coefficient of the term of the highest degree
EX: 5x^2 + 2x^3 + y in standard form would be 2x^3 + 5x^2 + y and the leading coefficient would be 2
Now the final set is just simplification of the polynomials. What you need to do is combine like terms. With addition it is pretty straight forward, however with subtraction many students mess up. What I suggest to do with subtraction is distribute the negative sign over the polynomial. If you are not sure what this means just ask and I'll try to comment.
I hope this helped and good luck!
x = number of messages sent or received
y = total cost per month
Plan A costs $30 per month plus $0.10 per text message. So the cost for plan A is y = 0.10*x + 30. The portion 0.10*x represents just the cost of the 10 cents per message, and then we add on the fixed cost of $30 to get the total cost.
In a similar fashion, plan B's cost is y = 60. There is no cost per message, so we don't have to include x in the picture. The cost is a flat fee, which leads to a flat horizontal line graph (as shown in the attachment below)
Our two equations are: y = 0.10x+30 and y = 60. Let's use substitution to find x
y = 0.10x + 30
60 = 0.10x + 30 ... replace y with 60 (works because y = 60)
60-30 = 0.10x
30 = 0.10x
0.10x = 30
x = 30/0.10
x = 300
If you send or receive 300 messages, then both plans will cost the same. We can see this on the graph below where the two lines cross at (300,60). Note how plugging x = 300 into the first equation simplifies to y = 60.
Answer:
no 5 7 6
Step-by-step explanation:
Answer:
3^9 = 19,683
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
Then the expression evaluates to ...
3^4 × 3^2 × 3^3 = 3^(4+2+3) = 3^9 = 19683
Answer:
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Step-by-step explanation:
(14 – 8) ÷ 2 is equal to 3
14 – 8 ÷ 2 is equal to 10
